A stability result for nonlinear Neumann problems under boundary variations

DOI10.1016/S0021-7824(03)00014-XzbMath1030.35056arXivmath/0206215OpenAlexW1983461802MaRDI QIDQ1408902

Gianni Dal Maso, Marcello Ponsiglione, François Ebobisse

Publication date: 25 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206215

zbMATH Keywords

Hausdorff metricMosco convergenceboundary value problemsnonlinear elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (13)

Existence and multiplicity of solutions for nonlocal \(p(x)\)-Laplacian equations with nonlinear Neumann boundary conditions ⋮ Unnamed Item ⋮ A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems ⋮ Whitney property in two dimensional Sobolev spaces ⋮ The Neumann problem in an irregular domain ⋮ A contribution to stability theory for nonlinear Neumann problem ⋮ Shape stability of optimal control problems in coefficients for coupled system of Hammerstein type ⋮ A model for the quasistatic growth of cracks with fractional dimension ⋮ A stability result for nonlinear Neumann problems in Reifenberg flat domains in \(\mathbb R^N\) ⋮ Geometrically constrained walls in two dimensions ⋮ Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions ⋮ Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains ⋮ Scaling in fracture mechanics by Bažant law: From finite to linearized elasticity

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